Search a number
-
+
270718040 = 23531233937
BaseRepresentation
bin10000001000101…
…101010001011000
3200212101220100002
4100020231101120
51023300434130
642510232132
76465031265
oct2010552130
9625356302
10270718040
111298a451a
12767b5648
13441178b8
1427d5026c
1518b77b45
hex1022d458

270718040 has 64 divisors (see below), whose sum is σ = 632136960. Its totient is φ = 104232960.

The previous prime is 270718037. The next prime is 270718043. The reversal of 270718040 is 40817072.

It is an interprime number because it is at equal distance from previous prime (270718037) and next prime (270718043).

It is a junction number, because it is equal to n+sod(n) for n = 270717994 and 270718012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270718043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288452 + ... + 289388.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2270718040 is an apocalyptic number.

270718040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270718040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316068480).

270718040 is an abundant number, since it is smaller than the sum of its proper divisors (361418920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

270718040 is a wasteful number, since it uses less digits than its factorization.

270718040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 270718040 is about 16453.5114793165. The cubic root of 270718040 is about 646.9028518118.

The spelling of 270718040 in words is "two hundred seventy million, seven hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 233 248 310 466 620 932 937 1165 1240 1864 1874 2330 3748 4660 4685 7223 7496 9320 9370 14446 18740 28892 29047 36115 37480 57784 58094 72230 116188 144460 145235 218321 232376 288920 290470 436642 580940 873284 1091605 1161880 1746568 2183210 4366420 6767951 8732840 13535902 27071804 33839755 54143608 67679510 135359020 270718040